264172900 has 36 divisors (see below), whose sum is σ = 585462528. Its totient is φ = 103419040.

The previous prime is 264172891. The next prime is 264172921. The reversal of 264172900 is 9271462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23404 + ... + 32803.

It is an arithmetic number, because the mean of its divisors is an integer number (16262848).

Almost surely, 2^264172900 is an apocalyptic number.

264172900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264172900 is an abundant number, since it is smaller than the sum of its proper divisors (321289628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264172900 is a wasteful number, since it uses less digits than its factorization.

264172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56268 (or 56261 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 264172900 is about 16253.3965681023. The cubic root of 264172900 is about 641.6468815698.

The spelling of 264172900 in words is "two hundred sixty-four million, one hundred seventy-two thousand, nine hundred".